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Simplifying 5x + 6 = 102 + -7x Reorder the terms: 6 + 5x = 102 + -7x Solving 6 + 5x = 102 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x = 102 + -7x + 7x Combine like terms: 5x + 7x = 12x 6 + 12x = 102 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 12x = 102 + 0 6 + 12x = 102 Add '-6' to each side of the equation. 6 + -6 + 12x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 102 + -6 12x = 102 + -6 Combine like terms: 102 + -6 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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